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Interpolations of Jensen's inequality
Tamkang journal of mathematics, 2003 Weighted and unweighted interpolations of general order are given for Jensen's integral inequality.
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A companion inequality to Jensen's inequality
Journal of Approximation Theory, 1981 openaire +1 more source
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On Jensen-McShane’s inequality
Periodica Mathematica Hungarica, 2009A sequence of inequalities wich include McShane's generalization of Jensen's inequality for isotonic positive linear functional and convex functions are proved and compered with results in literature. As applications some results for means are pointed out. Moreover, further inequalities of Holder type are presented.
Pečarić, Josip +2 more
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POST-QUANTUM HERMITE–JENSEN–MERCER INEQUALITIES
Rocky Mountain Journal of Mathematics, 2023Let us present some definitions from \((p,q)\)-calculus which are used in this paper.
Bohner, Martin +2 more
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Converse Jensen–Steffensen inequality
Aequationes mathematicae, 2011In this paper we prove a converse to the Jensen-Steffensen inequality and two inequalities complementary to the Jensen-Steffensen inequality. We apply so called exp-convex method in order to interpret our results in the form of exponentially convex functions. The outcome is a number of new interesting inequalities as well as some new Cauchy type means.
Klaričić Bakula, Milica +2 more
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Jensen's inequalities for pseudo-integrals
2021In this paper, we introduce a general$(oplus,otimes)$-convex function based on semirings $([a,b],oplus, otimes)$ with pseudo-addition $oplus$ andpseudo-multiplication $otimes.$ The generalization of the finiteJensen's inequality, as well as pseudo-integral with respect to$(oplus,otimes)$-convex functions, is obtained.
Zhang, D., Pap, E.
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2018
Historical origins. Jensen’s inequality is named after the Danish mathematician Johan Ludwig William Valdemar Jensen, born 8 May 1859 in Nakskov, Denmark, died 5 March 1925 in Copenhagen, Denmark.
Hayk Sedrakyan, Nairi Sedrakyan
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Historical origins. Jensen’s inequality is named after the Danish mathematician Johan Ludwig William Valdemar Jensen, born 8 May 1859 in Nakskov, Denmark, died 5 March 1925 in Copenhagen, Denmark.
Hayk Sedrakyan, Nairi Sedrakyan
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Mathematical Notes of the Academy of Sciences of the USSR, 1987
Translation from Mat. Zametki 41, No.6, 798-806 (Russian) (1987; Zbl 0627.26007).
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Translation from Mat. Zametki 41, No.6, 798-806 (Russian) (1987; Zbl 0627.26007).
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2004
Summary: A refinement of Jensen's inequality is presented. An extra term makes the inequality tighter when the convex function is ``superquadratic'', a strong convexity-type condition is introduced here. This condition is shown to be necessary and sufficient for the refined inequality.
Jameson, Graham J. O. +2 more
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Summary: A refinement of Jensen's inequality is presented. An extra term makes the inequality tighter when the convex function is ``superquadratic'', a strong convexity-type condition is introduced here. This condition is shown to be necessary and sufficient for the refined inequality.
Jameson, Graham J. O. +2 more
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